Add 40/30 and 75/54
1st number: 1 10/30, 2nd number: 1 21/54
40/30 + 75/54 is 49/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
40/30 = 40 × 9/30 × 9 = 360/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
75/54 = 75 × 5/54 × 5 = 375/270 - Add the two like fractions:
360/270 + 375/270 = 360 + 375/270 = 735/270 - 735/270 simplified gives 49/18
- So, 40/30 + 75/54 = 49/18
In mixed form: 213/18
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